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Finding the Fourth Proportional to 304,194.96, 456,370.20 and 126,642.96

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Solution

The fourth proportional to 304,194.96, 456,370.20 and 126,642.96 is: 189,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,194.96 : 456,370.20 = 126,642.96 : x
  2. Step 2: Convert to fraction form
    304,194.96/456,370.20 = 126,642.96/x
  3. Step 3: Cross multiply
    304,194.96x = 456,370.20 × 126,642.96
  4. Step 4: Simplify right side
    304,194.96x = 57,796,072,983.79
  5. Step 5: Solve for x
    x = 57,796,072,983.79/304,194.96
  6. Step 6: Final answer
    x = 189,996.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.